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Finding the Fourth Proportional to 30,502.20, 45,830.10 and 19,414.20

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Solution

The fourth proportional to 30,502.20, 45,830.10 and 19,414.20 is: 29,170.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,502.20 : 45,830.10 = 19,414.20 : x
  2. Step 2: Convert to fraction form
    30,502.20/45,830.10 = 19,414.20/x
  3. Step 3: Cross multiply
    30,502.20x = 45,830.10 × 19,414.20
  4. Step 4: Simplify right side
    30,502.20x = 889,754,727.42
  5. Step 5: Solve for x
    x = 889,754,727.42/30,502.20
  6. Step 6: Final answer
    x = 29,170.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.